Preheat oven to 400 degrees F and line a large baking sheet with parchment paper.

Roll the dough out in a large rectangle (about 10 by 14 inches). Spread with the pizza sauce, leaving a 1-inch border on the sides and bottom edge of the dough. Sprinkle with the mozzarella cheese and 2 tablespoons of the shredded Parmesan.

To make the pepperoni less greasy, place a double layer of paper towels on a microwave-proof plate. Arrange the pepperoni slices on the paper towels and cook on High for 30 seconds. Blot with another paper towel and reserve.

Layer the ham, salami and pepperoni evenly on the dough. Starting at the top edge, gently roll up the dough like a jelly roll. Pinch the edges together and tuck under.

In a small dish, combine the melted butter with the garlic powder. Brush the mixture on top of the dough. Make 1-inch diagonal cuts along the top of the Stromboli to allow steam to escape. Sprinkle with the remaining 2 tablespoons Parmesan cheese.

Bake until the top is golden brown, about 20 minutes.  Remove from oven and allow to cool for 5 minutes before slicing. Serve accompanied with marinara sauce for dipping, if you wish. Makes 3 to 4 servings.